The formula (or the translation) is given:
For x coordinates, you have to subtract by 6 (x - 6)
For y coordinates, you have to subtract by 7 (y - 7)
Take all the coordinates of ΔABC:
A = (4,4)
B = (7,0)
C = (2,2)
Now apply formula to all the coordinates:
A = (4 - 6, 4 - 7) = (-2, -3)
B = (7 - 6, 0 - 7) = (1, -7)
C = (2 - 6, 2 - 7) = (-4, -5)
The new coordinates:
A (-2,-3)
B (1, -7)
C (-4, -5)
Notice that if you plot the points, ΔABC basically just moved 6 steps to the left and 7 steps down.
Hope this helps!
